Geodesic
An inequality between the James and James type constants in Banach spaces
Fenghui Wang1 ; Changsen Yang2
1 Department of Mathematics Luoyang Normal University Luoyang 471022, China
2 Department of Mathematics Henan Normal University Xinxiang 453007, China
Studia Mathematica, Tome 201 (2010) no. 2, pp. 191-201 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider the James and Schäffer type constants recently introduced by Takahashi. We prove an equality between James (resp. Schäffer) type constants and the modulus of convexity (resp. smoothness). By using these equalities, we obtain some estimates for the new constants in terms of the James constant. As a result, we improve an inequality between the Zbăganu and James constants.
DOI : 10.4064/sm201-2-5
Keywords: consider james sch ffer type constants recently introduced takahashi prove equality between james resp sch ffer type constants modulus convexity resp smoothness using these equalities obtain estimates constants terms james constant result improve inequality between ganu james constants

Fenghui Wang 1 ; Changsen Yang 2

1 Department of Mathematics Luoyang Normal University Luoyang 471022, China
2 Department of Mathematics Henan Normal University Xinxiang 453007, China 
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Fenghui Wang; Changsen Yang. An inequality between the James and
 James type constants in Banach spaces. Studia Mathematica, Tome 201 (2010) no. 2, pp. 191-201. doi: 10.4064/sm201-2-5

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